Determine Whether Is Continuous At $( 0,0 )$

question 133

Essay

Determine whether $f ( x , y ) = \left\{ \begin{array} { l l } \frac { 3 x ^ { 2 } - 2 y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \\0 & \text { if } ( x , y ) = ( 0,0 )\end{array} \right.$ is continuous at $( 0,0 )$ .

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Definitions:

Collective Bargaining Agreements

Legal contracts between employers and labor unions that outline wages, hours, and working conditions for employees.

Labour Force

The total number of people employed or seeking employment in a given area or economy.

Expectancy Theory

A psychological theory about motivation predicting that an individual's motivational force is a result of expectancy, instrumentality, and valence.

High Instrumentality

The belief or expectation that high performance will lead to desirable outcomes.